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Finding the Fourth Proportional to 14,065.35, 19,410.21 and 7,691.97

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Solution

The fourth proportional to 14,065.35, 19,410.21 and 7,691.97 is: 10,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.35 : 19,410.21 = 7,691.97 : x
  2. Step 2: Convert to fraction form
    14,065.35/19,410.21 = 7,691.97/x
  3. Step 3: Cross multiply
    14,065.35x = 19,410.21 × 7,691.97
  4. Step 4: Simplify right side
    14,065.35x = 149,302,753.01
  5. Step 5: Solve for x
    x = 149,302,753.01/14,065.35
  6. Step 6: Final answer
    x = 10,614.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.